一个预定义时间的强大的神经动力控制器,用于二阶混乱系统的投影同步及其应用
IEEE transactions on cybernetics
|February 26, 2026
概括
这项研究介绍了一种新的预定义时间强大的神经动态控制器 (PTRNDC),用于二次混乱系统. 通过确保快速,强大的融合,并实现安全的图像加密,PTRNDC增强了投影同步.
科学领域:
- 控制理论 控制理论
- 混沌同步 混沌同步
- 神经动力学 神经动力学
背景情况:
- 第二阶混乱系统表现出高状态变量合,限制了现有的同步方法.
- 目前对这些系统的控制方案难以平衡融合速度和稳定性.
研究的目的:
- 开发一种先进的控制器,用于在二次混乱系统中实现强大的投射同步.
- 克服现有方法在收和稳定性方面的局限性.
主要方法:
- 预定义时间非单元终端滑动模式变量 (PTNTSMV) 的设计,用于错误合控制.
- 使用时间基数生成器 (TBG) 开发预定义时间双整数零化神经动力学 (ZNDs) 公式.
- 对稳定性,收性和强度进行严格的理论分析.
主要成果:
- 拟议的预定义时间强大的神经动态控制器 (PTRNDC) 确保非奇点性和融合.
- 控制器实现了快速和稳健的滑动模式表面的实现.
- 模拟证实了PTRNDC在投射同步方面的有效性和稳定性.
结论:
- PTRNDC有效地解决了二次混乱系统同步中的挑战.
- 生成的混乱序列成功地应用于图像加密,证明了视觉扭曲特性.
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